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Finding the Fourth Proportional to 11,398, 15,732.12 and 6,432.88

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Solution

The fourth proportional to 11,398, 15,732.12 and 6,432.88 is: 8,879.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,398 : 15,732.12 = 6,432.88 : x
  2. Step 2: Convert to fraction form
    11,398/15,732.12 = 6,432.88/x
  3. Step 3: Cross multiply
    11,398x = 15,732.12 × 6,432.88
  4. Step 4: Simplify right side
    11,398x = 101,202,840.11
  5. Step 5: Solve for x
    x = 101,202,840.11/11,398
  6. Step 6: Final answer
    x = 8,879.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.